Question

"Ralph opened a savings account with a deposit of $170. Every month after that, he deposited $35 more.

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Step
Part 1
Texti
Why is the relationship described not proportional?
was initially in
The relationship is not proportional because $ 170
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the account.
Part 2 out of 2
How could the situation be changed to make the situation proportional? Complete the explanation with
only changes that are necessary for the situation to be proportional.
Change the situation so that Ralph opens the account with $
month
and puts $1
in every"
A. $100 initial deposit and $20 monthly deposits.
B. $200 initial deposit and $40 monthly deposits.
C. $150 initial deposit and $30 monthly deposits.
D. $250 initial deposit and $50 monthly deposits.

Answer 1

Ralph's savings scenario is not proportional due to the increasing monthly deposits. Making the deposits a constant fraction of the initial amount would render the scenario proportional, such as a $150 initial deposit with $30 monthly deposits.

Step-by-step explanation:

The relationship described in Ralph's savings account scenario is not proportional because he deposits an additional $35 each month, creating a situation where his deposits increase by a constant amount rather than by a constant ratio. Proportional relationships require the ratio between the two quantities to be constant. In Ralph's case, as time progresses, the ratio of the total amount in the account to the number of months does not remain constant.

To make Ralph's savings scenario proportional, he would need to start with an initial deposit and then make monthly deposits that are a consistent fraction of the initial amount. For example, choosing option C: a $150 initial deposit and $30 monthly deposits, this scenario becomes proportional because every month, he is depositing exactly 1/5 (which is a constant ratio) of the initial deposit.